Question

The sum of two numbers is 100 and their difference is 37. the difference of their squares is select one:

a. 100
b. 3700
c. 37
d. 63

Answer 1

3700

Let the numbers be A and B

A + B = 100

A - B = 37

A = 68.5

B = 31.5

A^2 - B^2 = (68.5)^2 - (31.5)^2
= 4692.25 - 992.25 = 3700

Answer 2

x + y = 100

x - y = 37

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2x = 137

x = 68.5, y = 31.5

68.5² - 31.5² = (68.5 - 31.5)(68.5 + 31.5)

= 37(100) = 3,700

The correct answer is B.